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Finding the Fourth Proportional to 541.96, 812.88 and 434.40

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Solution

The fourth proportional to 541.96, 812.88 and 434.40 is: 651.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.96 : 812.88 = 434.40 : x
  2. Step 2: Convert to fraction form
    541.96/812.88 = 434.40/x
  3. Step 3: Cross multiply
    541.96x = 812.88 × 434.40
  4. Step 4: Simplify right side
    541.96x = 353,115.07
  5. Step 5: Solve for x
    x = 353,115.07/541.96
  6. Step 6: Final answer
    x = 651.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.